677950560 has 576 divisors, whose sum is σ = 2853107712. Its totient is φ = 148801536.

The previous prime is 677950543. The next prime is 677950561. The reversal of 677950560 is 65059776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677950561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12791494 + ... + 12791546.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^677950560 is an apocalyptic number.

677950560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

677950560 is an abundant number, since it is smaller than the sum of its proper divisors (2175157152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677950560 is a wasteful number, since it uses less digits than its factorization.

677950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 677950560 is about 26037.4837493948. The cubic root of 677950560 is about 878.4816102622.

The spelling of 677950560 in words is "six hundred seventy-seven million, nine hundred fifty thousand, five hundred sixty".